There's no graph, so I'll give a general method and use this example to illustrate:
To find domain from a graph, look at what x-values are represented. If there are holes or vertical asymptotes in the graph, those x-values are excluded from the domain. In this example it looks like all x-values are included in the domain except for 1
To find range, look what what y-values are represented on the graph. In the example, there are no negative y-values, and the lowest poin on the graph looks to be around y = 0.5 or y = 1, so range would be y > 0.5 or whatever.
To find x- and y-intercepts, look where the graph crosses each axis. This example has no x-intercepts, but y-intercept is about 1.
To find axis of symmetry, check each one:
does the graph look like you put some paint on paper and folded it like a book (symmetry about y-axis)?
Or does it look like you folded it along the x-axis?
Or does it look like you could turn the paper upside-down (rotate 180 degrees around the origin) and have the same graph?
Anyway, I hope this helps you with your problem.